Equivalent Conditions of Local Asymptotics for the Solutions of Defective Renewal Equations, with Applications  

作　　者：Kai-yong Wang Yue-bao Wang 

机构地区：[1]Department of Mathematics, Soochow University, Suzhou 215006, China [2]School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou 215009, China

出　　处：《Acta Mathematicae Applicatae Sinica》2010年第3期503-512,共10页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No. 10671139);the research foundation of Suzhou University of Science and Technology

摘　　要：The paper obtains some equivalent conditions of local asymptotics for the solutions of defective renewal equations in the heavy-tailed case. As applications, the paper gives a different proof of a classical result about the local distribution of the supremum of a random walk. These results are also applied in examples involving the renewal function for terminating renewal processes and the age-dependent branching processes.

关 键 词：Local asymptotics defective renewal equation heavy-tailed distribution random walk RENEWAL 

分 类 号：O211.3[理学—概率论与数理统计] O151.21[理学—数学]